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Tomographic PIV investigation of vortex shedding topology for a cantilevered circular cylinder

Published online by Cambridge University Press:  18 November 2021

R.J. Crane ,
A.R. Popinhak Open the ORCID record for A.R. Popinhak [Opens in a new window] ,
R.J. Martinuzzi Open the ORCID record for R.J. Martinuzzi [Opens in a new window]  and
C. Morton Open the ORCID record for C. Morton [Opens in a new window]
R.J. Crane
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
A.R. Popinhak
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
R.J. Martinuzzi
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
C. Morton*
Affiliation:
Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB, Canada
*
†Email address for correspondence: [email protected]
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Abstract

The wake of a finite wall-mounted circular cylinder of diameter $D$ and height $H$ is investigated for aspect ratios $3\leq H/D \leq 7$ and boundary layer thickness of $\delta /D \approx 0.98$ using tomographic particle image velocimetry. The Reynolds number based on $D$ is $Re = 750$. The mean wake topology is related to the evolution of the periodically shed vortices, educed from a low-order representation based on proper orthogonal decomposition of the three-dimensional velocity field. The main topological features are an arch vortex, defining the recirculating base region, and a quadrupole structure consisting of two pairs of opposite-sign vorticity concentrations extending downstream behind the obstacle-free end and wall junction. The quadrupole is the time-averaged signature of shed vortices. Vortex-tilting terms in the base region act to reorient flow-normal vorticity components streamwise, resulting in the reorientation of the ends of vortices initially shed parallel to the cylinder side walls. Through the action of the vortex-stretching terms, the bent ends connect successive vortices in a continuous chain. The influence of $H/D$ on the development of the quadrupole is characterized. The results demonstrate that the quadrupole in the mean field emerges as an imprint of the shed full-loop structures. This work reconciles mean and instantaneous interpretations satisfying the solenoidal condition on the vorticity field.

JFM classification

Wakes/Jets: Separated flows Wakes/Jets: Wakes Vortex Flows: Vortex shedding
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 931 , 25 January 2022 , R1
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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